The probability density function to the random linear transport equation

نویسندگان

  • L. T. Santos
  • Fábio Antonio Dorini
  • Maria Cristina C. Cunha
چکیده

We present a formula to calculate the probability density function to the solution of the random linear transport equation in terms of the density functions of the velocity and the initial condition. We also present an expression to the joint probability density function of the solution in two different points. Our results have shown good agreement with Monte Carlo simulations.

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عنوان ژورنال:
  • Applied Mathematics and Computation

دوره 216  شماره 

صفحات  -

تاریخ انتشار 2010